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100232561 = 11131741231
BaseRepresentation
bin1011111100101…
…10110101110001
320222121100020002
411332112311301
5201124420221
613540155345
72324651132
oct576266561
9228540202
10100232561
1151640230
1229698b55
13179c5610
14d451c89
158bed80b
hex5f96d71

100232561 has 16 divisors (see below), whose sum is σ = 124685568. Its totient is φ = 79161600.

The previous prime is 100232557. The next prime is 100232569. The reversal of 100232561 is 165232001.

It is a cyclic number.

It is not a de Polignac number, because 100232561 - 22 = 100232557 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100232569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18185 + ... + 23046.

It is an arithmetic number, because the mean of its divisors is an integer number (7792848).

Almost surely, 2100232561 is an apocalyptic number.

100232561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100232561 is a deficient number, since it is larger than the sum of its proper divisors (24453007).

100232561 is a wasteful number, since it uses less digits than its factorization.

100232561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41272.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 100232561 is about 10011.6212972725. The cubic root of 100232561 is about 464.5184223029.

Adding to 100232561 its reverse (165232001), we get a palindrome (265464562).

The spelling of 100232561 in words is "one hundred million, two hundred thirty-two thousand, five hundred sixty-one".

Divisors: 1 11 13 17 143 187 221 2431 41231 453541 536003 700927 5896033 7710197 9112051 100232561